LMFDB - L-function search results

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Lowest zero	Conductor	Analytic conductor	Central character	Analytic rank

Degree	Bad $p$	Root analytic conductor	Motivic weight	Spectral label

Root angle	Primitive	Origin	Exclude origin	Self-dual

Arithmetic

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Results (1-50 of 960 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-4725-4725.1004-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.1004	$0$	✓	✓	$0.247$	$0$	$0.0514184$	Character $\chi_{4725}(1004, \cdot)$
1-4725-4725.103-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.103	$0$	✓	✓	$0.0457$	$0$	$1.07349$	Character $\chi_{4725}(103, \cdot)$
1-4725-4725.104-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.104	$0$	✓	✓	$0.399$	$0$	$0.112671$	Character $\chi_{4725}(104, \cdot)$
1-4725-4725.1042-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.1042	$0$	✓	✓	$0.100$	$0$	$0.997300$	Character $\chi_{4725}(1042, \cdot)$
1-4725-4725.1046-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.1046	$0$	✓	✓	$-0.265$	$0$	$0.0611578$	Character $\chi_{4725}(1046, \cdot)$
1-4725-4725.1048-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.1048	$0$	✓	✓	$0.175$	$0$	$1.20862$	Character $\chi_{4725}(1048, \cdot)$
1-4725-4725.1066-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.1066	$0$	✓	✓	$0.416$	$0$	$0.787863$	Character $\chi_{4725}(1066, \cdot)$
1-4725-4725.1073-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.1073	$0$	✓	✓	$0.0208$	$0$	$0.668999$	Character $\chi_{4725}(1073, \cdot)$
1-4725-4725.1091-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.1091	$0$	✓	✓	$-0.279$	$0$	$0.695897$	Character $\chi_{4725}(1091, \cdot)$
1-4725-4725.1096-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.1096	$0$	✓	✓	$0.370$	$0$	$0.981134$	Character $\chi_{4725}(1096, \cdot)$
1-4725-4725.1102-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.1102	$0$	✓	✓	$0.382$	$0$	$0.804877$	Character $\chi_{4725}(1102, \cdot)$
1-4725-4725.1103-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.1103	$0$	✓	✓	$-0.110$	$0$	$0.226769$	Character $\chi_{4725}(1103, \cdot)$
1-4725-4725.1109-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.1109	$0$	✓	✓	$0.407$	$0$	$1.21387$	Character $\chi_{4725}(1109, \cdot)$
1-4725-4725.1123-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.1123	$0$	✓	✓	$-0.135$	$0$	$0.217489$	Character $\chi_{4725}(1123, \cdot)$
1-4725-4725.1129-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.1129	$0$	✓	✓	$-0.0906$	$0$	$0.589993$	Character $\chi_{4725}(1129, \cdot)$
1-4725-4725.1139-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.1139	$0$	✓	✓	$-0.0742$	$0$	$0.413763$	Character $\chi_{4725}(1139, \cdot)$
1-4725-4725.1147-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.1147	$0$	✓	✓	$-0.434$	$0$	$1.28841$	Character $\chi_{4725}(1147, \cdot)$
1-4725-4725.1154-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.1154	$0$	✓	✓	$-0.119$	$0$	$0.432260$	Character $\chi_{4725}(1154, \cdot)$
1-4725-4725.1159-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.1159	$0$	✓	✓	$0.0439$	$0$	$0.879179$	Character $\chi_{4725}(1159, \cdot)$
1-4725-4725.1181-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.1181	$0$	✓	✓	$-0.247$	$0$	$0.325558$	Character $\chi_{4725}(1181, \cdot)$
1-4725-4725.1208-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.1208	$0$	✓	✓	$-0.409$	$0$	$0.457028$	Character $\chi_{4725}(1208, \cdot)$
1-4725-4725.121-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.121	$0$	✓	✓	$-0.423$	$0$	$0.542098$	Character $\chi_{4725}(121, \cdot)$
1-4725-4725.1228-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.1228	$0$	✓	✓	$0.419$	$0$	$1.10439$	Character $\chi_{4725}(1228, \cdot)$
1-4725-4725.1237-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.1237	$0$	✓	✓	$0.135$	$0$	$1.04837$	Character $\chi_{4725}(1237, \cdot)$
1-4725-4725.1244-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.1244	$0$	✓	✓	$0.0805$	$0$	$0.886382$	Character $\chi_{4725}(1244, \cdot)$
1-4725-4725.1256-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.1256	$0$	✓	✓	$-0.360$	$0$	$0.238347$	Character $\chi_{4725}(1256, \cdot)$
1-4725-4725.1258-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.1258	$0$	✓	✓	$0.247$	$0$	$1.14168$	Character $\chi_{4725}(1258, \cdot)$
1-4725-4725.1262-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.1262	$0$	✓	✓	$-0.0191$	$0$	$0.586669$	Character $\chi_{4725}(1262, \cdot)$
1-4725-4725.1264-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.1264	$0$	✓	✓	$-0.230$	$0$	$0.243720$	Character $\chi_{4725}(1264, \cdot)$
1-4725-4725.1273-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.1273	$0$	✓	✓	$0.0292$	$0$	$0.800707$	Character $\chi_{4725}(1273, \cdot)$
1-4725-4725.128-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.128	$0$	✓	✓	$-0.109$	$0$	$0.598299$	Character $\chi_{4725}(128, \cdot)$
1-4725-4725.1283-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.1283	$0$	✓	✓	$0.296$	$0$	$0.00144705$	Character $\chi_{4725}(1283, \cdot)$
1-4725-4725.1292-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.1292	$0$	✓	✓	$0.109$	$0$	$0.937061$	Character $\chi_{4725}(1292, \cdot)$
1-4725-4725.13-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.13	$0$	✓	✓	$0.155$	$0$	$0.819678$	Character $\chi_{4725}(13, \cdot)$
1-4725-4725.131-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.131	$0$	✓	✓	$0.265$	$0$	$1.07497$	Character $\chi_{4725}(131, \cdot)$
1-4725-4725.1312-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.1312	$0$	✓	✓	$-0.175$	$0$	$0.628753$	Character $\chi_{4725}(1312, \cdot)$
1-4725-4725.1319-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.1319	$0$	✓	✓	$-0.0272$	$0$	$0.949467$	Character $\chi_{4725}(1319, \cdot)$
1-4725-4725.1339-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.1339	$0$	✓	✓	$0.270$	$0$	$0.672244$	Character $\chi_{4725}(1339, \cdot)$
1-4725-4725.1361-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.1361	$0$	✓	✓	$-0.385$	$0$	$0.529339$	Character $\chi_{4725}(1361, \cdot)$
1-4725-4725.1363-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.1363	$0$	✓	✓	$0.302$	$0$	$1.20272$	Character $\chi_{4725}(1363, \cdot)$
1-4725-4725.1364-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.1364	$0$	✓	✓	$0.445$	$0$	$0.902691$	Character $\chi_{4725}(1364, \cdot)$
1-4725-4725.137-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.137	$0$	✓	✓	$-0.206$	$0$	$0.732571$	Character $\chi_{4725}(137, \cdot)$
1-4725-4725.1381-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.1381	$0$	✓	✓	$-0.370$	$0$	$1.31811$	Character $\chi_{4725}(1381, \cdot)$
1-4725-4725.1388-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.1388	$0$	✓	✓	$0.480$	$0$	$1.03142$	Character $\chi_{4725}(1388, \cdot)$
1-4725-4725.1391-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.1391	$0$	✓	✓	$0.0524$	$0$	$1.09879$	Character $\chi_{4725}(1391, \cdot)$
1-4725-4725.1397-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.1397	$0$	✓	✓	$0.370$	$0$	$1.16971$	Character $\chi_{4725}(1397, \cdot)$
1-4725-4725.1406-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.1406	$0$	✓	✓	$-0.0659$	$0$	$0.458074$	Character $\chi_{4725}(1406, \cdot)$
1-4725-4725.1411-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.1411	$0$	✓	✓	$0.249$	$0$	$1.28503$	Character $\chi_{4725}(1411, \cdot)$
1-4725-4725.1417-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.1417	$0$	✓	✓	$-0.360$	$0$	$0.101675$	Character $\chi_{4725}(1417, \cdot)$
1-4725-4725.1438-r0-0-0	$21.9$	$21.9$	$1$	$3^{3} \cdot 5^{2} \cdot 7$	4725.1438	$0$	✓	✓	$0.324$	$0$	$0.665703$	Character $\chi_{4725}(1438, \cdot)$

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Elliptic curves over $\Q$
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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.